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TEA [102]
3 years ago
7

1. Which expressions is the prime factorization of 90

Mathematics
2 answers:
docker41 [41]3 years ago
8 0
They are 2,3,3,and 5.
Kazeer [188]3 years ago
4 0

Answer:

Step-by-step explanation:

as he said, 2, 3, 3, 3, 5

or, 3^3x2x5

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Answer:mot sire

Step-by-step explanation:

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3 years ago
Verify the identity:<br> tan(x+pi/2)=-cotx<br><br> please!!
olya-2409 [2.1K]
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb

tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx, 
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx, 
</span> because <span>cospi/2 =0,  </span>and <span>sinpi/2=1

</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
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5 0
3 years ago
Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

<em><u>Answer:</u></em>

Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From above two points,

(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)

Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

Thus we get,

\text{Slope of Ethan} < \text{Slope of Marty}

Therefore, Marty’s with a slope of 1/3  has the larger slope

4 0
3 years ago
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